Mechanics for Beginners: With Numerous Examples

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Macmillan and Company, 1882 - 400 páginas
"The present work is constructed on the same plan as the author's 'Algebra for beginners' and 'Trigonometry for beginners'; and is intended as a companion to them. It is divided into short Chapters, and a collection of Examples follows each Chapter. Some of these examples are original, and others have been selected from College and University Examination papers. The work forms an elementary treatise on demonstrative mechanics"--Page v.
 

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Página 327 - ... that the squares of the periodic times are proportional to the cubes of the mean distances of the planets from the Sun.
Página 16 - Conversely, if three forces act on a particle, and each force is proportional to the sine of the angle between the other two...
Página 295 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Página 295 - Change of motion is proportional to the impressed force, and takes place in the direction of the straight line in which the force acts.
Página 264 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Página 237 - ... then the resultant velocity will be represented in magnitude and direction by the diagonal, drawn from that point, of the parallelogram constructed on the two straight lines as adjacent sides.
Página 134 - This proportion teaches us that, when in equilibrium, the power is to the weight as the height of the plane is to its length.
Página 98 - Lines joining the middle points of the opposite sides of- any quadrilateral, bisect each other.
Página 13 - The nature of force is now, and always will be, unknown.' Force is known only by its effects: A point or particle at rest cannot give itself any motion since there is no reason why it should move in one direction rather than another. But if the particle is not forced to move upon a determinate curve, the curve which it describes possesses a singular property, which has been discovered by metaphysical considerations, ie /"* between any two points is less than on every other curve, if the body be free,...
Página 264 - If you press a stone with your finger, the finger is also pressed by the stone. If a horse draws a stone tied to a rope, the horse (if I may so say) will be equally drawn back towards the stone...

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